TSTP Solution File: GRP127-2.006 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GRP127-2.006 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:45:37 EDT 2023
% Result : Unsatisfiable 46.43s 6.34s
% Output : CNFRefutation 46.43s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(e_1_is_not_e_6,axiom,
~ equalish(e_1,e_6),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',e_1_is_not_e_6) ).
cnf(product_left_cancellation,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',product_left_cancellation) ).
cnf(product_total_function1,axiom,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| product(X1,X2,e_5)
| product(X1,X2,e_6)
| ~ group_element(X1)
| ~ group_element(X2) ),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',product_total_function1) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',element_1) ).
cnf(product_idempotence,axiom,
product(X1,X1,X1),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',product_idempotence) ).
cnf(product_right_cancellation,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',product_right_cancellation) ).
cnf(element_6,axiom,
group_element(e_6),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',element_6) ).
cnf(no_redundancy,axiom,
( ~ product(X1,e_1,X2)
| ~ next(X1,X3)
| ~ greater(X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',no_redundancy) ).
cnf(e_6_greater_e_5,axiom,
greater(e_6,e_5),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',e_6_greater_e_5) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',e_1_is_not_e_4) ).
cnf(e_4_is_not_e_6,axiom,
~ equalish(e_4,e_6),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',e_4_is_not_e_6) ).
cnf(e_4_then_e_5,axiom,
next(e_4,e_5),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',e_4_then_e_5) ).
cnf(element_4,axiom,
group_element(e_4),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',element_4) ).
cnf(e_6_greater_e_4,axiom,
greater(e_6,e_4),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',e_6_greater_e_4) ).
cnf(e_5_greater_e_4,axiom,
greater(e_5,e_4),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',e_5_greater_e_4) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',e_1_is_not_e_3) ).
cnf(e_3_is_not_e_6,axiom,
~ equalish(e_3,e_6),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',e_3_is_not_e_6) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',e_3_is_not_e_4) ).
cnf(e_3_then_e_4,axiom,
next(e_3,e_4),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',e_3_then_e_4) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',element_3) ).
cnf(e_6_greater_e_3,axiom,
greater(e_6,e_3),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',e_6_greater_e_3) ).
cnf(e_5_greater_e_3,axiom,
greater(e_5,e_3),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',e_5_greater_e_3) ).
cnf(e_4_greater_e_3,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',e_4_greater_e_3) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',e_2_is_not_e_1) ).
cnf(e_2_is_not_e_6,axiom,
~ equalish(e_2,e_6),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',e_2_is_not_e_6) ).
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',e_2_is_not_e_4) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',e_2_is_not_e_3) ).
cnf(e_2_then_e_3,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',e_2_then_e_3) ).
cnf(element_5,axiom,
group_element(e_5),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',element_5) ).
cnf(e_5_is_not_e_6,axiom,
~ equalish(e_5,e_6),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',e_5_is_not_e_6) ).
cnf(e_1_is_not_e_5,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',e_1_is_not_e_5) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',element_2) ).
cnf(e_4_is_not_e_5,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',e_4_is_not_e_5) ).
cnf(e_3_is_not_e_5,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',e_3_is_not_e_5) ).
cnf(e_2_is_not_e_5,axiom,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',e_2_is_not_e_5) ).
cnf(qg3,negated_conjecture,
( product(X4,X1,X2)
| ~ product(X1,X2,X3)
| ~ product(X3,X1,X4) ),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',qg3) ).
cnf(product_total_function2,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
file('/export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p',product_total_function2) ).
cnf(c_0_37,axiom,
~ equalish(e_1,e_6),
e_1_is_not_e_6 ).
cnf(c_0_38,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
product_left_cancellation ).
cnf(c_0_39,axiom,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| product(X1,X2,e_5)
| product(X1,X2,e_6)
| ~ group_element(X1)
| ~ group_element(X2) ),
product_total_function1 ).
cnf(c_0_40,axiom,
group_element(e_1),
element_1 ).
cnf(c_0_41,plain,
( ~ product(e_6,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,axiom,
product(X1,X1,X1),
product_idempotence ).
cnf(c_0_43,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
product_right_cancellation ).
cnf(c_0_44,plain,
( product(X1,e_1,e_6)
| product(X1,e_1,e_5)
| product(X1,e_1,e_4)
| product(X1,e_1,e_3)
| product(X1,e_1,e_2)
| product(X1,e_1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,axiom,
group_element(e_6),
element_6 ).
cnf(c_0_46,plain,
~ product(e_6,e_1,e_1),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_47,axiom,
( ~ product(X1,e_1,X2)
| ~ next(X1,X3)
| ~ greater(X2,X3) ),
no_redundancy ).
cnf(c_0_48,axiom,
greater(e_6,e_5),
e_6_greater_e_5 ).
cnf(c_0_49,axiom,
~ equalish(e_1,e_4),
e_1_is_not_e_4 ).
cnf(c_0_50,axiom,
~ equalish(e_4,e_6),
e_4_is_not_e_6 ).
cnf(c_0_51,plain,
( ~ product(X1,e_6,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_43]) ).
cnf(c_0_52,plain,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_4)
| product(e_6,e_1,e_5)
| product(e_6,e_1,e_6) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).
cnf(c_0_53,plain,
( ~ product(X1,e_1,e_6)
| ~ next(X1,e_5) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_54,axiom,
next(e_4,e_5),
e_4_then_e_5 ).
cnf(c_0_55,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_38]) ).
cnf(c_0_56,plain,
( ~ product(e_6,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_38]) ).
cnf(c_0_57,plain,
( product(e_6,e_1,e_5)
| product(e_6,e_1,e_4)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_42])]) ).
cnf(c_0_58,axiom,
group_element(e_4),
element_4 ).
cnf(c_0_59,plain,
~ product(e_4,e_1,e_6),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_60,plain,
~ product(e_4,e_1,e_1),
inference(spm,[status(thm)],[c_0_55,c_0_42]) ).
cnf(c_0_61,axiom,
greater(e_6,e_4),
e_6_greater_e_4 ).
cnf(c_0_62,axiom,
greater(e_5,e_4),
e_5_greater_e_4 ).
cnf(c_0_63,axiom,
~ equalish(e_1,e_3),
e_1_is_not_e_3 ).
cnf(c_0_64,axiom,
~ equalish(e_3,e_6),
e_3_is_not_e_6 ).
cnf(c_0_65,plain,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_4)
| ~ product(e_4,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_66,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_5) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_58]),c_0_59]),c_0_60]) ).
cnf(c_0_67,axiom,
~ equalish(e_3,e_4),
e_3_is_not_e_4 ).
cnf(c_0_68,plain,
( ~ product(X1,e_1,e_6)
| ~ next(X1,e_4) ),
inference(spm,[status(thm)],[c_0_47,c_0_61]) ).
cnf(c_0_69,axiom,
next(e_3,e_4),
e_3_then_e_4 ).
cnf(c_0_70,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_4) ),
inference(spm,[status(thm)],[c_0_47,c_0_62]) ).
cnf(c_0_71,plain,
( ~ product(e_3,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_38]) ).
cnf(c_0_72,plain,
( ~ product(e_6,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_38]) ).
cnf(c_0_73,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_6,e_1,e_4)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_74,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_67,c_0_38]) ).
cnf(c_0_75,axiom,
group_element(e_3),
element_3 ).
cnf(c_0_76,plain,
~ product(e_3,e_1,e_6),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_77,plain,
~ product(e_3,e_1,e_5),
inference(spm,[status(thm)],[c_0_70,c_0_69]) ).
cnf(c_0_78,plain,
~ product(e_3,e_1,e_1),
inference(spm,[status(thm)],[c_0_71,c_0_42]) ).
cnf(c_0_79,axiom,
greater(e_6,e_3),
e_6_greater_e_3 ).
cnf(c_0_80,axiom,
greater(e_5,e_3),
e_5_greater_e_3 ).
cnf(c_0_81,axiom,
greater(e_4,e_3),
e_4_greater_e_3 ).
cnf(c_0_82,axiom,
~ equalish(e_2,e_1),
e_2_is_not_e_1 ).
cnf(c_0_83,axiom,
~ equalish(e_2,e_6),
e_2_is_not_e_6 ).
cnf(c_0_84,plain,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| ~ product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]) ).
cnf(c_0_85,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_75]),c_0_76]),c_0_77]),c_0_78]) ).
cnf(c_0_86,axiom,
~ equalish(e_2,e_4),
e_2_is_not_e_4 ).
cnf(c_0_87,axiom,
~ equalish(e_2,e_3),
e_2_is_not_e_3 ).
cnf(c_0_88,plain,
( ~ product(X1,e_1,e_6)
| ~ next(X1,e_3) ),
inference(spm,[status(thm)],[c_0_47,c_0_79]) ).
cnf(c_0_89,axiom,
next(e_2,e_3),
e_2_then_e_3 ).
cnf(c_0_90,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_3) ),
inference(spm,[status(thm)],[c_0_47,c_0_80]) ).
cnf(c_0_91,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_3) ),
inference(spm,[status(thm)],[c_0_47,c_0_81]) ).
cnf(c_0_92,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_38]) ).
cnf(c_0_93,axiom,
group_element(e_5),
element_5 ).
cnf(c_0_94,axiom,
~ equalish(e_5,e_6),
e_5_is_not_e_6 ).
cnf(c_0_95,axiom,
~ equalish(e_1,e_5),
e_1_is_not_e_5 ).
cnf(c_0_96,plain,
( ~ product(e_6,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_83,c_0_38]) ).
cnf(c_0_97,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_98,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_86,c_0_38]) ).
cnf(c_0_99,plain,
( ~ product(e_3,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_87,c_0_38]) ).
cnf(c_0_100,axiom,
group_element(e_2),
element_2 ).
cnf(c_0_101,plain,
~ product(e_2,e_1,e_6),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_102,plain,
~ product(e_2,e_1,e_5),
inference(spm,[status(thm)],[c_0_90,c_0_89]) ).
cnf(c_0_103,plain,
~ product(e_2,e_1,e_4),
inference(spm,[status(thm)],[c_0_91,c_0_89]) ).
cnf(c_0_104,plain,
~ product(e_2,e_1,e_1),
inference(spm,[status(thm)],[c_0_92,c_0_42]) ).
cnf(c_0_105,plain,
( product(X1,e_5,e_6)
| product(X1,e_5,e_5)
| product(X1,e_5,e_4)
| product(X1,e_5,e_3)
| product(X1,e_5,e_2)
| product(X1,e_5,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_93]) ).
cnf(c_0_106,plain,
( ~ product(X1,e_6,X2)
| ~ product(X1,e_5,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_43]) ).
cnf(c_0_107,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_95,c_0_38]) ).
cnf(c_0_108,plain,
( product(e_6,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98]),c_0_99]) ).
cnf(c_0_109,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_100]),c_0_101]),c_0_102]),c_0_103]),c_0_104]) ).
cnf(c_0_110,axiom,
~ equalish(e_4,e_5),
e_4_is_not_e_5 ).
cnf(c_0_111,axiom,
~ equalish(e_3,e_5),
e_3_is_not_e_5 ).
cnf(c_0_112,axiom,
~ equalish(e_2,e_5),
e_2_is_not_e_5 ).
cnf(c_0_113,plain,
( product(e_6,e_5,e_1)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_5)
| product(e_6,e_5,e_6) ),
inference(spm,[status(thm)],[c_0_105,c_0_45]) ).
cnf(c_0_114,plain,
~ product(e_6,e_5,e_6),
inference(spm,[status(thm)],[c_0_106,c_0_42]) ).
cnf(c_0_115,plain,
~ product(e_5,e_1,e_1),
inference(spm,[status(thm)],[c_0_107,c_0_42]) ).
cnf(c_0_116,plain,
( ~ product(e_6,X1,X2)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_38]) ).
cnf(c_0_117,plain,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_6,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_118,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_110,c_0_38]) ).
cnf(c_0_119,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_111,c_0_38]) ).
cnf(c_0_120,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_112,c_0_38]) ).
cnf(c_0_121,negated_conjecture,
( product(X4,X1,X2)
| ~ product(X1,X2,X3)
| ~ product(X3,X1,X4) ),
qg3 ).
cnf(c_0_122,plain,
( product(e_6,e_5,e_5)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(sr,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_123,plain,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_6) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_93]),c_0_115]) ).
cnf(c_0_124,plain,
~ product(e_5,e_1,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118]),c_0_119]),c_0_120]) ).
cnf(c_0_125,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_95,c_0_43]) ).
cnf(c_0_126,negated_conjecture,
( product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_5)
| product(e_1,e_5,X1)
| ~ product(e_5,X1,e_6) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_127,plain,
( product(e_5,e_1,e_6)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3) ),
inference(sr,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_128,plain,
~ product(e_1,e_5,e_1),
inference(spm,[status(thm)],[c_0_125,c_0_42]) ).
cnf(c_0_129,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(e_6,e_5,e_5)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_128]) ).
cnf(c_0_130,negated_conjecture,
( product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_129]),c_0_42])]) ).
cnf(c_0_131,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_4,e_5,X1)
| ~ product(e_5,X1,e_6) ),
inference(spm,[status(thm)],[c_0_121,c_0_130]) ).
cnf(c_0_132,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_131,c_0_127]) ).
cnf(c_0_133,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(e_6,e_5,e_2)
| product(e_4,e_5,e_1)
| product(e_3,e_5,X1)
| ~ product(e_5,X1,e_6) ),
inference(spm,[status(thm)],[c_0_121,c_0_132]) ).
cnf(c_0_134,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_4,e_5,e_1)
| product(e_6,e_5,e_2)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_133,c_0_127]) ).
cnf(c_0_135,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,X1)
| ~ product(e_5,X1,e_6) ),
inference(spm,[status(thm)],[c_0_121,c_0_134]) ).
cnf(c_0_136,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_4,e_5,e_1)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_135,c_0_127]) ).
cnf(c_0_137,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_136]),c_0_42])]) ).
cnf(c_0_138,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_4,e_5,e_1)
| product(e_5,e_1,e_3)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_119,c_0_137]) ).
cnf(c_0_139,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
product_total_function2 ).
cnf(c_0_140,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_138,c_0_85]) ).
cnf(c_0_141,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_43]) ).
cnf(c_0_142,plain,
( product(X1,e_6,e_6)
| product(X1,e_6,e_5)
| product(X1,e_6,e_4)
| product(X1,e_6,e_3)
| product(X1,e_6,e_2)
| product(X1,e_6,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_45]) ).
cnf(c_0_143,plain,
( ~ product(X1,X2,e_6)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_37,c_0_139]) ).
cnf(c_0_144,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_1,X1)
| ~ product(e_1,X1,e_6) ),
inference(spm,[status(thm)],[c_0_121,c_0_117]) ).
cnf(c_0_145,plain,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| product(e_1,e_5,e_6) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_40]),c_0_128]) ).
cnf(c_0_146,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_4,e_5,e_1)
| product(e_3,e_1,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_140]),c_0_99]) ).
cnf(c_0_147,plain,
( product(X1,e_4,e_6)
| product(X1,e_4,e_5)
| product(X1,e_4,e_4)
| product(X1,e_4,e_3)
| product(X1,e_4,e_2)
| product(X1,e_4,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_58]) ).
cnf(c_0_148,plain,
~ product(e_1,e_4,e_1),
inference(spm,[status(thm)],[c_0_141,c_0_42]) ).
cnf(c_0_149,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_43]) ).
cnf(c_0_150,negated_conjecture,
( product(X1,X1,X2)
| ~ product(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_121,c_0_42]) ).
cnf(c_0_151,plain,
( product(e_1,e_6,e_1)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_5)
| product(e_1,e_6,e_6) ),
inference(spm,[status(thm)],[c_0_142,c_0_40]) ).
cnf(c_0_152,plain,
~ product(e_1,e_1,e_6),
inference(spm,[status(thm)],[c_0_143,c_0_42]) ).
cnf(c_0_153,negated_conjecture,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_102]) ).
cnf(c_0_154,plain,
( product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_5)
| ~ product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_122]) ).
cnf(c_0_155,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_146,c_0_109]) ).
cnf(c_0_156,plain,
( product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_5)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_96,c_0_122]) ).
cnf(c_0_157,plain,
( product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_5)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_72,c_0_122]) ).
cnf(c_0_158,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5)
| product(e_1,e_4,e_6) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_40]),c_0_148]) ).
cnf(c_0_159,plain,
( product(X1,e_2,e_6)
| product(X1,e_2,e_5)
| product(X1,e_2,e_4)
| product(X1,e_2,e_3)
| product(X1,e_2,e_2)
| product(X1,e_2,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_100]) ).
cnf(c_0_160,plain,
~ product(e_1,e_2,e_1),
inference(spm,[status(thm)],[c_0_149,c_0_42]) ).
cnf(c_0_161,negated_conjecture,
( product(e_1,e_6,e_6)
| product(e_1,e_6,e_5)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_152]) ).
cnf(c_0_162,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_153]),c_0_42])]) ).
cnf(c_0_163,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_6,e_5,e_5)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_156]),c_0_157]) ).
cnf(c_0_164,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_86,c_0_43]) ).
cnf(c_0_165,negated_conjecture,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_158]),c_0_103]) ).
cnf(c_0_166,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5)
| product(e_1,e_2,e_6) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_40]),c_0_160]) ).
cnf(c_0_167,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,X1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_109]) ).
cnf(c_0_168,plain,
( ~ product(X1,e_6,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_83,c_0_43]) ).
cnf(c_0_169,negated_conjecture,
( product(e_1,e_6,e_2)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_161]),c_0_42])]) ).
cnf(c_0_170,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| ~ product(e_6,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_162]) ).
cnf(c_0_171,negated_conjecture,
( product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_163]),c_0_42])]) ).
cnf(c_0_172,plain,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_6,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_125,c_0_117]) ).
cnf(c_0_173,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_174,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_166]),c_0_167]) ).
cnf(c_0_175,negated_conjecture,
( product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_176,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_110,c_0_43]) ).
cnf(c_0_177,negated_conjecture,
( product(e_6,e_5,e_3)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_172]) ).
cnf(c_0_178,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_179,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_112,c_0_43]) ).
cnf(c_0_180,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_4) ),
inference(spm,[status(thm)],[c_0_175,c_0_174]) ).
cnf(c_0_181,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_6,e_5,e_3)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_182,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_178]),c_0_42])]) ).
cnf(c_0_183,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_6,e_5,e_3)
| ~ product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_177]),c_0_121]) ).
cnf(c_0_184,plain,
( ~ product(X1,e_3,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_87,c_0_43]) ).
cnf(c_0_185,negated_conjecture,
( product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| ~ product(e_1,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_180]),c_0_179]) ).
cnf(c_0_186,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_4,e_2)
| product(e_6,e_5,e_3)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_183]) ).
cnf(c_0_187,plain,
~ product(e_3,e_2,e_3),
inference(spm,[status(thm)],[c_0_184,c_0_42]) ).
cnf(c_0_188,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_85]) ).
cnf(c_0_189,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_3) ),
inference(spm,[status(thm)],[c_0_185,c_0_162]) ).
cnf(c_0_190,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_5,e_1,X1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_66]) ).
cnf(c_0_191,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_6,e_5,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_2,e_4)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_186]),c_0_77]) ).
cnf(c_0_192,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_6) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_75]),c_0_187]) ).
cnf(c_0_193,negated_conjecture,
( product(e_1,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_59]),c_0_188]) ).
cnf(c_0_194,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_5,e_1,e_5)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_190,c_0_162]) ).
cnf(c_0_195,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_6,e_5,e_3)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_167,c_0_191]) ).
cnf(c_0_196,plain,
~ product(e_5,e_4,e_5),
inference(spm,[status(thm)],[c_0_176,c_0_42]) ).
cnf(c_0_197,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_67,c_0_43]) ).
cnf(c_0_198,plain,
( ~ product(X1,e_6,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_43]) ).
cnf(c_0_199,negated_conjecture,
( product(e_3,e_2,e_6)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_1,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_192]) ).
cnf(c_0_200,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_193]),c_0_76]) ).
cnf(c_0_201,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_5,e_1,e_5)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_2)
| ~ product(e_6,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_194]) ).
cnf(c_0_202,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_2)
| product(e_6,e_5,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_195]),c_0_124]) ).
cnf(c_0_203,plain,
( ~ product(X1,e_6,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_43]) ).
cnf(c_0_204,plain,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_6) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_93]),c_0_196]) ).
cnf(c_0_205,plain,
( product(X1,e_3,e_6)
| product(X1,e_3,e_5)
| product(X1,e_3,e_4)
| product(X1,e_3,e_3)
| product(X1,e_3,e_2)
| product(X1,e_3,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_75]) ).
cnf(c_0_206,plain,
~ product(e_4,e_3,e_4),
inference(spm,[status(thm)],[c_0_197,c_0_42]) ).
cnf(c_0_207,plain,
~ product(e_6,e_3,e_6),
inference(spm,[status(thm)],[c_0_198,c_0_42]) ).
cnf(c_0_208,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_6) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_109]),c_0_160]) ).
cnf(c_0_209,plain,
( product(e_6,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| ~ product(e_5,e_1,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_97]),c_0_118]),c_0_119]) ).
cnf(c_0_210,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_1,e_5,e_2)
| product(e_4,e_1,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_188,c_0_200]) ).
cnf(c_0_211,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_1,e_5,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_5,e_1,e_5)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_212,negated_conjecture,
( product(e_1,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_1,e_5,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_189]),c_0_164]),c_0_176]) ).
cnf(c_0_213,negated_conjecture,
( product(e_5,e_4,e_6)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_1,e_4,X1)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_121,c_0_204]) ).
cnf(c_0_214,plain,
( product(e_2,e_6,e_1)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5)
| product(e_2,e_6,e_6) ),
inference(spm,[status(thm)],[c_0_142,c_0_100]) ).
cnf(c_0_215,plain,
~ product(e_2,e_6,e_6),
inference(spm,[status(thm)],[c_0_96,c_0_42]) ).
cnf(c_0_216,plain,
( product(e_2,e_1,e_2)
| ~ product(e_2,e_6,e_3) ),
inference(spm,[status(thm)],[c_0_51,c_0_109]) ).
cnf(c_0_217,plain,
~ product(e_2,e_5,e_5),
inference(spm,[status(thm)],[c_0_120,c_0_42]) ).
cnf(c_0_218,plain,
( product(e_2,e_1,e_2)
| ~ product(e_2,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_125,c_0_109]) ).
cnf(c_0_219,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_5)
| product(e_4,e_3,e_6) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_58]),c_0_206]) ).
cnf(c_0_220,plain,
( ~ product(X1,e_3,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_43]) ).
cnf(c_0_221,plain,
( product(e_6,e_3,e_1)
| product(e_6,e_3,e_2)
| product(e_6,e_3,e_3)
| product(e_6,e_3,e_4)
| product(e_6,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_45]),c_0_207]) ).
cnf(c_0_222,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_6,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_208]) ).
cnf(c_0_223,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_4,e_5,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_6,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_209,c_0_140]) ).
cnf(c_0_224,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_5)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_210]),c_0_77]) ).
cnf(c_0_225,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_172,c_0_134]) ).
cnf(c_0_226,plain,
~ product(e_2,e_4,e_4),
inference(spm,[status(thm)],[c_0_98,c_0_42]) ).
cnf(c_0_227,plain,
( product(e_2,e_1,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_141,c_0_109]) ).
cnf(c_0_228,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_5,e_1,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_211]),c_0_77]) ).
cnf(c_0_229,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_6,e_2) ),
inference(spm,[status(thm)],[c_0_212,c_0_182]) ).
cnf(c_0_230,plain,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| ~ product(e_5,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_141,c_0_127]) ).
cnf(c_0_231,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_6) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_66]),c_0_148]) ).
cnf(c_0_232,plain,
( product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(sr,[status(thm)],[c_0_214,c_0_215]) ).
cnf(c_0_233,plain,
~ product(e_2,e_6,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_216]),c_0_42])]) ).
cnf(c_0_234,plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_6) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_100]),c_0_217]) ).
cnf(c_0_235,plain,
~ product(e_2,e_5,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_218]),c_0_42])]) ).
cnf(c_0_236,negated_conjecture,
( product(e_4,e_3,e_6)
| product(e_4,e_3,e_5)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_1,e_3,X1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_219]) ).
cnf(c_0_237,plain,
~ product(e_1,e_3,e_1),
inference(spm,[status(thm)],[c_0_220,c_0_42]) ).
cnf(c_0_238,plain,
( product(e_6,e_3,e_5)
| product(e_6,e_3,e_4)
| product(e_6,e_3,e_3)
| product(e_6,e_3,e_2)
| ~ product(e_6,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_184,c_0_221]) ).
cnf(c_0_239,negated_conjecture,
( product(e_6,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_222,c_0_109]) ).
cnf(c_0_240,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_223]),c_0_155]) ).
cnf(c_0_241,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_5,e_1,X1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_224]) ).
cnf(c_0_242,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_5,e_1)
| product(e_4,e_5,e_1)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_225]),c_0_42])]) ).
cnf(c_0_243,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_86,c_0_139]) ).
cnf(c_0_244,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_100]),c_0_226]) ).
cnf(c_0_245,plain,
~ product(e_2,e_4,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_227]),c_0_42])]) ).
cnf(c_0_246,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_228]),c_0_42])]) ).
cnf(c_0_247,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_229]),c_0_76]) ).
cnf(c_0_248,negated_conjecture,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_230,c_0_231]) ).
cnf(c_0_249,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_6,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_166]) ).
cnf(c_0_250,plain,
( product(e_2,e_6,e_1)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5) ),
inference(sr,[status(thm)],[c_0_232,c_0_233]) ).
cnf(c_0_251,plain,
~ product(e_6,e_2,e_6),
inference(spm,[status(thm)],[c_0_168,c_0_42]) ).
cnf(c_0_252,plain,
( product(e_2,e_5,e_6)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[c_0_234,c_0_235]) ).
cnf(c_0_253,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_5)
| product(e_4,e_3,e_6) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_85]),c_0_237]) ).
cnf(c_0_254,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_6,e_3,e_2)
| product(e_6,e_3,e_3)
| product(e_6,e_3,e_4)
| product(e_6,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_238,c_0_239]) ).
cnf(c_0_255,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_4,e_5,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_240]),c_0_155]) ).
cnf(c_0_256,negated_conjecture,
( product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_2,e_4)
| product(e_5,e_1,e_6)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_180]),c_0_188]) ).
cnf(c_0_257,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_242]),c_0_243]) ).
cnf(c_0_258,plain,
( product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[c_0_244,c_0_245]) ).
cnf(c_0_259,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_246]),c_0_42])]) ).
cnf(c_0_260,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_247]),c_0_77]) ).
cnf(c_0_261,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_248]),c_0_42])]) ).
cnf(c_0_262,negated_conjecture,
( product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_251]) ).
cnf(c_0_263,negated_conjecture,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_6)
| product(e_6,e_2,e_5)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_249,c_0_252]) ).
cnf(c_0_264,negated_conjecture,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_6,e_3,X1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_253]) ).
cnf(c_0_265,negated_conjecture,
( product(e_6,e_3,e_4)
| product(e_6,e_3,e_3)
| product(e_6,e_3,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_5,e_3,X1)
| ~ product(e_3,X1,e_6) ),
inference(spm,[status(thm)],[c_0_121,c_0_254]) ).
cnf(c_0_266,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_6,e_5,e_5)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_255]),c_0_157]),c_0_156]) ).
cnf(c_0_267,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_5,e_1,e_6)
| product(e_1,e_2,e_4)
| product(e_1,e_6,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_256]),c_0_59]) ).
cnf(c_0_268,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_5,e_1)
| product(e_4,e_5,e_1)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_257,c_0_85]) ).
cnf(c_0_269,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_1,e_4,X1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_258]) ).
cnf(c_0_270,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_259]),c_0_109]) ).
cnf(c_0_271,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_5,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_174]) ).
cnf(c_0_272,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| ~ product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_260]),c_0_141]) ).
cnf(c_0_273,negated_conjecture,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_5,e_1,e_3)
| ~ product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_261]),c_0_74]) ).
cnf(c_0_274,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5)
| product(e_5,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_262]) ).
cnf(c_0_275,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_6,e_2,e_5)
| product(e_2,e_5,e_6)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2)
| product(e_5,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_263]) ).
cnf(c_0_276,plain,
~ product(e_5,e_2,e_5),
inference(spm,[status(thm)],[c_0_179,c_0_42]) ).
cnf(c_0_277,plain,
~ product(e_4,e_2,e_4),
inference(spm,[status(thm)],[c_0_164,c_0_42]) ).
cnf(c_0_278,negated_conjecture,
( product(e_6,e_3,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_264,c_0_85]) ).
cnf(c_0_279,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_6,e_3,e_2)
| product(e_6,e_3,e_3)
| product(e_6,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_265,c_0_208]) ).
cnf(c_0_280,plain,
( product(e_4,e_6,e_1)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_5)
| product(e_4,e_6,e_6) ),
inference(spm,[status(thm)],[c_0_142,c_0_58]) ).
cnf(c_0_281,plain,
~ product(e_4,e_6,e_6),
inference(spm,[status(thm)],[c_0_56,c_0_42]) ).
cnf(c_0_282,negated_conjecture,
( product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_266]),c_0_42])]) ).
cnf(c_0_283,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_1,e_2,e_4)
| product(e_5,e_1,e_6)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_267]),c_0_76]) ).
cnf(c_0_284,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_268]),c_0_109]) ).
cnf(c_0_285,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_67,c_0_139]) ).
cnf(c_0_286,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_270]),c_0_148]) ).
cnf(c_0_287,plain,
( ~ product(X1,X2,e_3)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_87,c_0_139]) ).
cnf(c_0_288,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_5,e_2,e_4)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_258]),c_0_272]) ).
cnf(c_0_289,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_273,c_0_85]) ).
cnf(c_0_290,negated_conjecture,
( product(e_5,e_2,e_6)
| product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_274,c_0_250]) ).
cnf(c_0_291,negated_conjecture,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_6)
| product(e_6,e_2,e_5)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_252]),c_0_276]) ).
cnf(c_0_292,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_239]) ).
cnf(c_0_293,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_5)
| product(e_4,e_2,e_6) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_58]),c_0_277]) ).
cnf(c_0_294,negated_conjecture,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_6,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_184,c_0_278]) ).
cnf(c_0_295,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_149,c_0_85]) ).
cnf(c_0_296,negated_conjecture,
( product(e_6,e_3,e_3)
| product(e_6,e_3,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_5,e_3,e_2)
| product(e_4,e_3,X1)
| ~ product(e_3,X1,e_6) ),
inference(spm,[status(thm)],[c_0_121,c_0_279]) ).
cnf(c_0_297,negated_conjecture,
( product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_5,e_6,X1)
| ~ product(e_6,X1,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_169]) ).
cnf(c_0_298,plain,
( product(e_4,e_6,e_5)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1) ),
inference(sr,[status(thm)],[c_0_280,c_0_281]) ).
cnf(c_0_299,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_4,e_5,X1)
| ~ product(e_5,X1,e_6) ),
inference(spm,[status(thm)],[c_0_121,c_0_282]) ).
cnf(c_0_300,negated_conjecture,
( product(e_5,e_1,e_6)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_283]),c_0_124]) ).
cnf(c_0_301,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_5,e_1)
| product(e_4,e_5,e_1)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_284]),c_0_148]) ).
cnf(c_0_302,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2)
| ~ product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_286]),c_0_287]) ).
cnf(c_0_303,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_4,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_288]) ).
cnf(c_0_304,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_286]) ).
cnf(c_0_305,negated_conjecture,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_289]),c_0_98]),c_0_99]) ).
cnf(c_0_306,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5)
| product(e_5,e_2,e_6)
| product(e_4,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_290]) ).
cnf(c_0_307,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_6,e_2,e_5)
| product(e_2,e_5,e_6)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2)
| product(e_4,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_291]) ).
cnf(c_0_308,negated_conjecture,
( product(e_4,e_2,e_6)
| product(e_4,e_2,e_5)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_292,c_0_293]) ).
cnf(c_0_309,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_239]),c_0_295]) ).
cnf(c_0_310,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_5,e_3,e_2)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_6,e_3,e_2)
| product(e_6,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_296,c_0_208]) ).
cnf(c_0_311,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_5,e_6,e_2)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_4) ),
inference(spm,[status(thm)],[c_0_297,c_0_239]) ).
cnf(c_0_312,negated_conjecture,
( product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_5)
| product(e_1,e_6,X1)
| ~ product(e_6,X1,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_298]) ).
cnf(c_0_313,plain,
~ product(e_1,e_6,e_1),
inference(spm,[status(thm)],[c_0_51,c_0_42]) ).
cnf(c_0_314,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| ~ product(e_4,e_6,e_5) ),
inference(spm,[status(thm)],[c_0_51,c_0_66]) ).
cnf(c_0_315,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_1,e_5,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_6,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_200]) ).
cnf(c_0_316,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_5,e_1)
| product(e_6,e_5,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_300]),c_0_172]) ).
cnf(c_0_317,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_3,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_1,e_5,X1)
| ~ product(e_5,X1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_301]),c_0_302]) ).
cnf(c_0_318,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_5,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_258]),c_0_277]),c_0_304]) ).
cnf(c_0_319,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_305,c_0_109]) ).
cnf(c_0_320,negated_conjecture,
( product(e_4,e_2,e_6)
| product(e_5,e_2,e_6)
| product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_306,c_0_250]) ).
cnf(c_0_321,negated_conjecture,
( product(e_4,e_2,e_5)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_6)
| product(e_6,e_2,e_5)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_307,c_0_252]) ).
cnf(c_0_322,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| ~ product(e_4,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_149,c_0_66]) ).
cnf(c_0_323,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_308]),c_0_208]) ).
cnf(c_0_324,negated_conjecture,
( product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_5)
| product(e_5,e_3,X1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_309]) ).
cnf(c_0_325,negated_conjecture,
( product(e_6,e_3,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_5,e_3,e_2)
| product(e_4,e_3,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_310]),c_0_42])]) ).
cnf(c_0_326,negated_conjecture,
( product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_5,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_4,e_6,X1)
| ~ product(e_6,X1,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_311]) ).
cnf(c_0_327,negated_conjecture,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_73]),c_0_313]),c_0_314]) ).
cnf(c_0_328,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_1,e_5,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_315,c_0_316]) ).
cnf(c_0_329,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_1,e_5,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_317,c_0_318]) ).
cnf(c_0_330,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_319]),c_0_42])]) ).
cnf(c_0_331,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5)
| product(e_5,e_2,e_6)
| product(e_4,e_2,e_6)
| product(e_3,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_320]) ).
cnf(c_0_332,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_6,e_2,e_5)
| product(e_2,e_5,e_6)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2)
| product(e_4,e_2,e_5)
| product(e_3,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_321]) ).
cnf(c_0_333,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_322,c_0_323]) ).
cnf(c_0_334,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_82,c_0_139]) ).
cnf(c_0_335,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_324,c_0_85]) ).
cnf(c_0_336,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_5,e_3,e_2)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_3,X1)
| ~ product(e_3,X1,e_6) ),
inference(spm,[status(thm)],[c_0_121,c_0_325]) ).
cnf(c_0_337,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| ~ product(e_2,e_3,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_325]),c_0_98]),c_0_120]),c_0_220]) ).
cnf(c_0_338,negated_conjecture,
( product(e_4,e_6,e_2)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_5,e_6,e_2)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_3) ),
inference(spm,[status(thm)],[c_0_326,c_0_239]) ).
cnf(c_0_339,negated_conjecture,
( product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_4)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_6,e_1,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_327]),c_0_98]) ).
cnf(c_0_340,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_5,e_1)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_328]),c_0_77]) ).
cnf(c_0_341,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_3,e_5,e_1)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_329]),c_0_77]) ).
cnf(c_0_342,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_182]),c_0_188]) ).
cnf(c_0_343,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_5,e_4,e_2)
| product(e_3,e_4,X1)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_121,c_0_330]) ).
cnf(c_0_344,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_110,c_0_139]) ).
cnf(c_0_345,negated_conjecture,
( product(e_3,e_2,e_6)
| product(e_4,e_2,e_6)
| product(e_5,e_2,e_6)
| product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_331,c_0_250]) ).
cnf(c_0_346,negated_conjecture,
( product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_1,e_6,X1)
| ~ product(e_6,X1,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_250]) ).
cnf(c_0_347,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_95,c_0_139]) ).
cnf(c_0_348,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_2,e_5)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_6)
| product(e_6,e_2,e_5)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_332,c_0_252]) ).
cnf(c_0_349,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_333]),c_0_42])]) ).
cnf(c_0_350,negated_conjecture,
( product(e_4,e_3,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_5)
| ~ product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_335]),c_0_118]) ).
cnf(c_0_351,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_5,e_3,e_2)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_208]),c_0_337]) ).
cnf(c_0_352,negated_conjecture,
( product(e_1,e_6,e_2)
| product(e_5,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_4,e_6,e_2)
| product(e_3,e_6,X1)
| ~ product(e_6,X1,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_338]) ).
cnf(c_0_353,plain,
~ product(e_3,e_4,e_4),
inference(spm,[status(thm)],[c_0_74,c_0_42]) ).
cnf(c_0_354,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_6,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2) ),
inference(spm,[status(thm)],[c_0_339,c_0_109]) ).
cnf(c_0_355,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_5,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_340]),c_0_148]),c_0_302]) ).
cnf(c_0_356,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_341]),c_0_148]) ).
cnf(c_0_357,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_4)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_107,c_0_342]) ).
cnf(c_0_358,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_343,c_0_224]) ).
cnf(c_0_359,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_4,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_224]),c_0_243]) ).
cnf(c_0_360,plain,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| ~ product(e_5,e_2,e_6) ),
inference(spm,[status(thm)],[c_0_149,c_0_127]) ).
cnf(c_0_361,negated_conjecture,
( product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5)
| product(e_5,e_2,e_6)
| product(e_4,e_2,e_6)
| product(e_3,e_2,e_6) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_345]),c_0_42])]) ).
cnf(c_0_362,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_117]),c_0_313]) ).
cnf(c_0_363,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_6,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_239]),c_0_72]) ).
cnf(c_0_364,negated_conjecture,
( product(e_6,e_2,e_5)
| product(e_2,e_5,e_6)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2)
| product(e_4,e_2,e_5)
| product(e_3,e_2,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_348]),c_0_42])]) ).
cnf(c_0_365,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_4,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_349]),c_0_109]) ).
cnf(c_0_366,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_351]),c_0_295]) ).
cnf(c_0_367,negated_conjecture,
( product(e_3,e_6,e_2)
| product(e_4,e_6,e_2)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_5,e_6,e_2)
| product(e_1,e_6,e_2) ),
inference(spm,[status(thm)],[c_0_352,c_0_239]) ).
cnf(c_0_368,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_5)
| product(e_3,e_4,e_6) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_75]),c_0_353]) ).
cnf(c_0_369,negated_conjecture,
( product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_4)
| product(e_4,e_1,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_354]),c_0_74]),c_0_99]) ).
cnf(c_0_370,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_355]),c_0_356]) ).
cnf(c_0_371,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_358]),c_0_359]) ).
cnf(c_0_372,negated_conjecture,
( product(e_3,e_2,e_6)
| product(e_4,e_2,e_6)
| product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_360,c_0_361]) ).
cnf(c_0_373,negated_conjecture,
( product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,X1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_362]) ).
cnf(c_0_374,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_111,c_0_139]) ).
cnf(c_0_375,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_2,e_5)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_6)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_363,c_0_364]) ).
cnf(c_0_376,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_2,e_3)
| ~ product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_365]),c_0_184]) ).
cnf(c_0_377,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_5)
| product(e_4,e_3,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_366]),c_0_42])]) ).
cnf(c_0_378,negated_conjecture,
( product(e_5,e_6,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_4,e_6,e_2)
| product(e_3,e_6,e_2)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_367]),c_0_76]) ).
cnf(c_0_379,plain,
( product(e_3,e_4,e_6)
| product(e_3,e_4,e_5)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_99,c_0_368]) ).
cnf(c_0_380,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2) ),
inference(spm,[status(thm)],[c_0_369,c_0_370]) ).
cnf(c_0_381,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_371]),c_0_124]) ).
cnf(c_0_382,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_6,e_2,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_249,c_0_258]) ).
cnf(c_0_383,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5)
| product(e_4,e_2,e_6)
| product(e_3,e_2,e_6) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_372]),c_0_42])]) ).
cnf(c_0_384,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_5,e_2,e_6)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_290]),c_0_167]) ).
cnf(c_0_385,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_6)
| product(e_2,e_5,e_2)
| product(e_3,e_2,e_5)
| ~ product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_375]),c_0_121]) ).
cnf(c_0_386,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_377]),c_0_295]) ).
cnf(c_0_387,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_6,e_2)
| product(e_4,e_6,e_2)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_198,c_0_378]) ).
cnf(c_0_388,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_5)
| product(e_3,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_379,c_0_258]) ).
cnf(c_0_389,negated_conjecture,
( product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_380]),c_0_42])]) ).
cnf(c_0_390,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_381]),c_0_148]),c_0_302]) ).
cnf(c_0_391,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_6,e_2,e_4)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_5,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_382]) ).
cnf(c_0_392,negated_conjecture,
( product(e_3,e_2,e_6)
| product(e_4,e_2,e_6)
| product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_5,e_1,e_3)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_119,c_0_383]) ).
cnf(c_0_393,negated_conjecture,
( product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_5,e_2,e_6)
| product(e_3,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_384]) ).
cnf(c_0_394,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_5)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_6)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_386]),c_0_295]) ).
cnf(c_0_395,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_2,e_3)
| ~ product(e_4,e_6,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_365]),c_0_168]) ).
cnf(c_0_396,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_4,e_6,e_2)
| product(e_3,e_6,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_387,c_0_351]) ).
cnf(c_0_397,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_6,e_4,X1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_388]) ).
cnf(c_0_398,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_389]),c_0_42])]) ).
cnf(c_0_399,plain,
~ product(e_6,e_4,e_6),
inference(spm,[status(thm)],[c_0_203,c_0_42]) ).
cnf(c_0_400,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2)
| ~ product(e_3,e_4,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_390]),c_0_99]),c_0_334]) ).
cnf(c_0_401,negated_conjecture,
( product(e_5,e_2,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_6,e_2,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_391,c_0_258]) ).
cnf(c_0_402,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5)
| product(e_4,e_2,e_6)
| product(e_3,e_2,e_6) ),
inference(spm,[status(thm)],[c_0_392,c_0_85]) ).
cnf(c_0_403,negated_conjecture,
( product(e_3,e_2,e_6)
| product(e_5,e_2,e_6)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5) ),
inference(spm,[status(thm)],[c_0_393,c_0_250]) ).
cnf(c_0_404,negated_conjecture,
( product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_6)
| product(e_2,e_5,e_2)
| product(e_3,e_2,e_5)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_394]),c_0_42])]) ).
cnf(c_0_405,negated_conjecture,
( product(e_3,e_6,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_396]),c_0_376]) ).
cnf(c_0_406,negated_conjecture,
( product(e_4,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_398]),c_0_399]),c_0_400]) ).
cnf(c_0_407,plain,
( product(e_5,e_4,e_6)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_120,c_0_204]) ).
cnf(c_0_408,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_6,e_2,e_4)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_5,e_2,e_4)
| product(e_4,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_401]) ).
cnf(c_0_409,negated_conjecture,
( product(e_3,e_2,e_6)
| product(e_4,e_2,e_6)
| product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_3,e_1,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_402]),c_0_99]) ).
cnf(c_0_410,negated_conjecture,
( product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| ~ product(e_4,e_2,e_6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_403]),c_0_74]) ).
cnf(c_0_411,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_6)
| product(e_2,e_1,e_2)
| ~ product(e_3,e_6,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_404]),c_0_168]) ).
cnf(c_0_412,negated_conjecture,
( product(e_3,e_6,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_6)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_385,c_0_405]) ).
cnf(c_0_413,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_3)
| product(e_2,e_1,e_2)
| product(e_1,e_4,e_6)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_269,c_0_406]) ).
cnf(c_0_414,plain,
( ~ product(X1,X2,e_6)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_139]) ).
cnf(c_0_415,plain,
( ~ product(X1,X2,e_6)
| ~ product(X1,X2,e_5) ),
inference(spm,[status(thm)],[c_0_94,c_0_139]) ).
cnf(c_0_416,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_407,c_0_258]) ).
cnf(c_0_417,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_370]) ).
cnf(c_0_418,negated_conjecture,
( product(e_5,e_2,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_6,e_2,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_258]),c_0_277]) ).
cnf(c_0_419,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5)
| product(e_3,e_2,e_6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_109]),c_0_410]) ).
cnf(c_0_420,plain,
( ~ product(X1,X2,e_6)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_139]) ).
cnf(c_0_421,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_6)
| product(e_2,e_5,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_411,c_0_412]) ).
cnf(c_0_422,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| ~ product(e_3,e_4,e_6) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_413]),c_0_99]),c_0_414]),c_0_415]) ).
cnf(c_0_423,plain,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_230,c_0_416]) ).
cnf(c_0_424,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_139]) ).
cnf(c_0_425,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_6,e_2,e_4)
| product(e_5,e_2,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_417,c_0_418]) ).
cnf(c_0_426,negated_conjecture,
( product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_220,c_0_362]) ).
cnf(c_0_427,negated_conjecture,
( product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_3,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_419]),c_0_420]) ).
cnf(c_0_428,negated_conjecture,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_6)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_5,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_421]) ).
cnf(c_0_429,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_388]),c_0_400]) ).
cnf(c_0_430,plain,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_423]),c_0_42])]) ).
cnf(c_0_431,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_6,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_239]),c_0_72]) ).
cnf(c_0_432,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_5,e_2,e_4)
| product(e_6,e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_425]),c_0_42])]) ).
cnf(c_0_433,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| ~ product(e_3,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_149,c_0_370]) ).
cnf(c_0_434,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_377]),c_0_427]) ).
cnf(c_0_435,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_6)
| product(e_2,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_428,c_0_109]) ).
cnf(c_0_436,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_3,e_4,e_3)
| product(e_5,e_4,X1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_429]) ).
cnf(c_0_437,plain,
( product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_5,e_1,e_3)
| ~ product(e_5,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_430]),c_0_164]) ).
cnf(c_0_438,negated_conjecture,
( product(e_5,e_2,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_432]),c_0_433]) ).
cnf(c_0_439,negated_conjecture,
( product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_2,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_434]),c_0_42])]) ).
cnf(c_0_440,negated_conjecture,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_6)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| ~ product(e_5,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_435]),c_0_119]) ).
cnf(c_0_441,negated_conjecture,
( product(e_4,e_6,e_2)
| product(e_5,e_4,e_6)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_436,c_0_398]) ).
cnf(c_0_442,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_437,c_0_438]) ).
cnf(c_0_443,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5)
| product(e_2,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_439]) ).
cnf(c_0_444,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_3,e_4,e_3)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_164,c_0_429]) ).
cnf(c_0_445,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_6)
| product(e_2,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_438]),c_0_433]) ).
cnf(c_0_446,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_4,e_6,e_2)
| ~ product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_441]),c_0_119]) ).
cnf(c_0_447,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_442]),c_0_109]) ).
cnf(c_0_448,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_5,e_2,e_6)
| product(e_4,e_2,e_6)
| product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_443,c_0_320]) ).
cnf(c_0_449,negated_conjecture,
( product(e_4,e_6,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2)
| product(e_3,e_6,X1)
| ~ product(e_6,X1,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_398]) ).
cnf(c_0_450,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| ~ product(e_3,e_6,e_2) ),
inference(spm,[status(thm)],[c_0_51,c_0_370]) ).
cnf(c_0_451,negated_conjecture,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_6)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_444,c_0_445]) ).
cnf(c_0_452,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_3,e_4,e_3)
| product(e_4,e_6,e_2)
| ~ product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_420,c_0_441]),c_0_120]) ).
cnf(c_0_453,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_5,e_4,e_2)
| product(e_4,e_6,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_446,c_0_447]) ).
cnf(c_0_454,plain,
( ~ product(X1,X2,e_6)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_50,c_0_139]) ).
cnf(c_0_455,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5)
| product(e_4,e_2,e_6)
| product(e_5,e_2,e_6) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_448]),c_0_42])]) ).
cnf(c_0_456,negated_conjecture,
( product(e_5,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_4,e_6,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_449,c_0_432]),c_0_450]) ).
cnf(c_0_457,plain,
( product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_203,c_0_250]) ).
cnf(c_0_458,plain,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| ~ product(e_5,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_73]),c_0_118]) ).
cnf(c_0_459,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_5,e_6)
| product(e_2,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_451]),c_0_42])]) ).
cnf(c_0_460,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_365]),c_0_149]),c_0_99]) ).
cnf(c_0_461,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_432]),c_0_119]) ).
cnf(c_0_462,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_4,e_6,e_2)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_453]),c_0_444]) ).
cnf(c_0_463,negated_conjecture,
( product(e_4,e_2,e_6)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_5)
| ~ product(e_5,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_454,c_0_455]),c_0_121]) ).
cnf(c_0_464,negated_conjecture,
( product(e_4,e_6,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2)
| product(e_4,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_121,c_0_456]) ).
cnf(c_0_465,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5) ),
inference(spm,[status(thm)],[c_0_457,c_0_258]) ).
cnf(c_0_466,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_4,e_5,e_1)
| product(e_5,e_1,e_3)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_458,c_0_137]) ).
cnf(c_0_467,negated_conjecture,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_6)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_459]),c_0_42])]) ).
cnf(c_0_468,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_370]),c_0_461]) ).
cnf(c_0_469,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_2)
| ~ product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_168,c_0_462]) ).
cnf(c_0_470,negated_conjecture,
( product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_4,e_2,e_6) ),
inference(spm,[status(thm)],[c_0_463,c_0_438]) ).
cnf(c_0_471,negated_conjecture,
( product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_4,e_2,e_6)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_4,e_6,e_2) ),
inference(spm,[status(thm)],[c_0_464,c_0_465]) ).
cnf(c_0_472,negated_conjecture,
( product(e_6,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| ~ product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_466]),c_0_98]),c_0_120]) ).
cnf(c_0_473,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_5,e_2)
| product(e_6,e_5,X1)
| ~ product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_467]) ).
cnf(c_0_474,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_468]),c_0_444]),c_0_469]) ).
cnf(c_0_475,negated_conjecture,
( product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_414,c_0_470]) ).
cnf(c_0_476,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| ~ product(e_4,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_471]),c_0_420]) ).
cnf(c_0_477,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_5,e_4,X1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_165]) ).
cnf(c_0_478,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_4,e_5,e_1)
| product(e_4,e_1,e_2)
| product(e_6,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_472,c_0_109]) ).
cnf(c_0_479,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_6,X1)
| ~ product(e_6,X1,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_462]) ).
cnf(c_0_480,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_4,e_3)
| product(e_6,e_5,e_4)
| product(e_2,e_5,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_473,c_0_474]) ).
cnf(c_0_481,negated_conjecture,
( product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_475,c_0_468]),c_0_476]) ).
cnf(c_0_482,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_3,e_4,e_3)
| ~ product(e_2,e_6,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_462]),c_0_51]),c_0_203]) ).
cnf(c_0_483,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_155]),c_0_196]) ).
cnf(c_0_484,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_478]),c_0_155]) ).
cnf(c_0_485,negated_conjecture,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_6,e_4,X1)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_121,c_0_231]) ).
cnf(c_0_486,negated_conjecture,
( product(e_2,e_5,e_2)
| product(e_2,e_6,e_5)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_479,c_0_480]) ).
cnf(c_0_487,negated_conjecture,
( product(e_2,e_6,e_4)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_444,c_0_481]),c_0_482]) ).
cnf(c_0_488,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_483]),c_0_42])]) ).
cnf(c_0_489,negated_conjecture,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_6,e_4,X1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_158]) ).
cnf(c_0_490,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_4,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_484]),c_0_155]) ).
cnf(c_0_491,negated_conjecture,
( product(e_6,e_4,e_1)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_485,c_0_66]) ).
cnf(c_0_492,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_2)
| product(e_2,e_6,e_5)
| product(e_2,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_486]),c_0_42])]) ).
cnf(c_0_493,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_6,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_487]),c_0_42])]) ).
cnf(c_0_494,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_6,e_2) ),
inference(spm,[status(thm)],[c_0_212,c_0_488]) ).
cnf(c_0_495,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_6,e_4,e_5)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_489,c_0_490]) ).
cnf(c_0_496,negated_conjecture,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_96,c_0_491]) ).
cnf(c_0_497,negated_conjecture,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| ~ product(e_2,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_120,c_0_231]) ).
cnf(c_0_498,negated_conjecture,
( product(e_2,e_5,e_2)
| product(e_2,e_6,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_492]),c_0_42])]) ).
cnf(c_0_499,negated_conjecture,
( product(e_2,e_6,e_4)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_493]),c_0_42])]) ).
cnf(c_0_500,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_494]),c_0_76]) ).
cnf(c_0_501,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_6,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_5,e_4,X1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_495]) ).
cnf(c_0_502,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_496,c_0_258]),c_0_497]) ).
cnf(c_0_503,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_2)
| product(e_2,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_498]),c_0_499]) ).
cnf(c_0_504,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_500]),c_0_77]) ).
cnf(c_0_505,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_6,e_4,e_5)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_490]),c_0_196]) ).
cnf(c_0_506,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_502]),c_0_42])]) ).
cnf(c_0_507,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_503]),c_0_42])]) ).
cnf(c_0_508,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,X1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_504]) ).
cnf(c_0_509,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_6,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_505]),c_0_42])]) ).
cnf(c_0_510,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_5,e_4,e_2)
| product(e_3,e_4,X1)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_121,c_0_506]) ).
cnf(c_0_511,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_116,c_0_239]) ).
cnf(c_0_512,plain,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_6) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_93]),c_0_276]) ).
cnf(c_0_513,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_6,e_4,X1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_507]) ).
cnf(c_0_514,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_508,c_0_490]) ).
cnf(c_0_515,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_6,e_4,e_5)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_509]),c_0_359]) ).
cnf(c_0_516,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_510,c_0_66]) ).
cnf(c_0_517,negated_conjecture,
( product(e_5,e_2,e_6)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_511,c_0_512]) ).
cnf(c_0_518,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_6,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_513,c_0_514]) ).
cnf(c_0_519,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_6,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_4,X1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_515]) ).
cnf(c_0_520,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| ~ product(e_2,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_92,c_0_158]) ).
cnf(c_0_521,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_4,X1)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_121,c_0_516]) ).
cnf(c_0_522,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_5,e_1)
| product(e_4,e_5,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_220,c_0_284]) ).
cnf(c_0_523,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_490]) ).
cnf(c_0_524,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_517]),c_0_208]) ).
cnf(c_0_525,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_6,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_518]),c_0_96]) ).
cnf(c_0_526,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_6,e_4,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_519,c_0_255]) ).
cnf(c_0_527,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_520,c_0_507]) ).
cnf(c_0_528,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_521,c_0_66]) ).
cnf(c_0_529,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_2)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_522,c_0_377]) ).
cnf(c_0_530,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_1,e_5,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_523,c_0_524]) ).
cnf(c_0_531,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| ~ product(e_4,e_1,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_224]),c_0_287]),c_0_74]) ).
cnf(c_0_532,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_525,c_0_526]) ).
cnf(c_0_533,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_5,e_4,X1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_527]) ).
cnf(c_0_534,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| ~ product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_495]),c_0_96]) ).
cnf(c_0_535,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_6,e_4,e_5)
| product(e_1,e_4,e_2)
| product(e_3,e_4,X1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_509]) ).
cnf(c_0_536,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_4,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_528]),c_0_42])]) ).
cnf(c_0_537,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_5)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_220,c_0_514]) ).
cnf(c_0_538,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_5)
| ~ product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_529]),c_0_99]) ).
cnf(c_0_539,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_530]),c_0_77]) ).
cnf(c_0_540,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_1,e_2,e_4)
| product(e_6,e_5,e_3)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_107,c_0_191]) ).
cnf(c_0_541,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_66]),c_0_531]) ).
cnf(c_0_542,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_532]),c_0_42])]) ).
cnf(c_0_543,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_533,c_0_490]),c_0_196]),c_0_534]) ).
cnf(c_0_544,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_1,e_4,e_2)
| product(e_6,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_535,c_0_490]) ).
cnf(c_0_545,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_98,c_0_536]) ).
cnf(c_0_546,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_4,e_5)
| product(e_3,e_5,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_537,c_0_377]),c_0_538]) ).
cnf(c_0_547,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_118,c_0_539]) ).
cnf(c_0_548,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_4,e_1,e_4)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_6,e_5,e_3)
| product(e_1,e_2,e_4)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_540,c_0_541]) ).
cnf(c_0_549,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_542]) ).
cnf(c_0_550,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_543]),c_0_42])]) ).
cnf(c_0_551,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_6,e_4,e_5)
| product(e_3,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_167,c_0_544]) ).
cnf(c_0_552,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_545,c_0_109]) ).
cnf(c_0_553,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_5,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_220,c_0_340]) ).
cnf(c_0_554,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_546]),c_0_42])]) ).
cnf(c_0_555,negated_conjecture,
( product(e_3,e_6,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_5,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_547,c_0_405]) ).
cnf(c_0_556,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_6,e_5,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_548]),c_0_124]),c_0_531]) ).
cnf(c_0_557,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_549,c_0_550]),c_0_103]) ).
cnf(c_0_558,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| ~ product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_551]),c_0_99]) ).
cnf(c_0_559,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_2,e_1,e_2)
| product(e_6,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_513,c_0_552]) ).
cnf(c_0_560,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_5,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_553,c_0_377]) ).
cnf(c_0_561,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_4,e_5)
| product(e_3,e_5,e_1)
| product(e_2,e_1,e_2)
| ~ product(e_3,e_6,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_554]),c_0_168]) ).
cnf(c_0_562,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_3,e_6,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_555]),c_0_42])]) ).
cnf(c_0_563,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_5,e_1,e_5)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_556]),c_0_531]) ).
cnf(c_0_564,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_557]),c_0_558]) ).
cnf(c_0_565,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_5,e_4,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_559]),c_0_119]),c_0_120]) ).
cnf(c_0_566,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_5)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_74,c_0_560]) ).
cnf(c_0_567,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_561,c_0_562]) ).
cnf(c_0_568,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_5,e_1,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_563]),c_0_77]) ).
cnf(c_0_569,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_564]),c_0_99]) ).
cnf(c_0_570,negated_conjecture,
( product(e_5,e_4,e_6)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_565,c_0_204]) ).
cnf(c_0_571,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_566,c_0_567]),c_0_295]),c_0_538]) ).
cnf(c_0_572,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_568]),c_0_42])]) ).
cnf(c_0_573,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_569,c_0_542]) ).
cnf(c_0_574,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_570]),c_0_507]) ).
cnf(c_0_575,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_571]),c_0_42])]) ).
cnf(c_0_576,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_572]),c_0_42])]) ).
cnf(c_0_577,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_1,e_5,X1)
| ~ product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_573]) ).
cnf(c_0_578,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_574]),c_0_42])]) ).
cnf(c_0_579,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2) ),
inference(spm,[status(thm)],[c_0_369,c_0_575]) ).
cnf(c_0_580,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_1,X1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_576]) ).
cnf(c_0_581,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_1,e_5,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_577,c_0_578]) ).
cnf(c_0_582,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_176,c_0_573]) ).
cnf(c_0_583,negated_conjecture,
( product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_579]),c_0_42])]) ).
cnf(c_0_584,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_5,e_4,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_580,c_0_581]),c_0_102]),c_0_582]) ).
cnf(c_0_585,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_583]),c_0_42])]) ).
cnf(c_0_586,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_5,e_1)
| ~ product(e_3,e_4,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_584]),c_0_141]),c_0_99]) ).
cnf(c_0_587,negated_conjecture,
( product(e_4,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_4,e_5)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_168,c_0_585]) ).
cnf(c_0_588,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| ~ product(e_3,e_6,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_575]),c_0_168]) ).
cnf(c_0_589,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_582,c_0_368]),c_0_422]),c_0_586]) ).
cnf(c_0_590,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_5)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_6,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_587,c_0_405]),c_0_588]) ).
cnf(c_0_591,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_3,e_4,e_3)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_164,c_0_589]) ).
cnf(c_0_592,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_590]),c_0_399]) ).
cnf(c_0_593,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_591,c_0_592]) ).
cnf(c_0_594,plain,
( product(e_3,e_6,e_1)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_5)
| product(e_3,e_6,e_6) ),
inference(spm,[status(thm)],[c_0_142,c_0_75]) ).
cnf(c_0_595,plain,
~ product(e_3,e_6,e_6),
inference(spm,[status(thm)],[c_0_72,c_0_42]) ).
cnf(c_0_596,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_593]),c_0_42])]) ).
cnf(c_0_597,plain,
( product(e_3,e_6,e_5)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(sr,[status(thm)],[c_0_594,c_0_595]) ).
cnf(c_0_598,negated_conjecture,
( product(e_3,e_2,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_295,c_0_596]) ).
cnf(c_0_599,plain,
( product(e_3,e_6,e_2)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_5)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_106,c_0_597]) ).
cnf(c_0_600,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_3,e_2,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_598]),c_0_42])]) ).
cnf(c_0_601,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_3,e_6,e_5)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2) ),
inference(spm,[status(thm)],[c_0_599,c_0_573]) ).
cnf(c_0_602,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2)
| ~ product(e_3,e_6,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_600]),c_0_168]) ).
cnf(c_0_603,negated_conjecture,
( product(e_3,e_6,e_3)
| product(e_3,e_6,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2)
| ~ product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_601]),c_0_602]),c_0_99]) ).
cnf(c_0_604,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3) ),
inference(spm,[status(thm)],[c_0_603,c_0_589]) ).
cnf(c_0_605,negated_conjecture,
( product(e_3,e_6,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_5)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_168,c_0_604]) ).
cnf(c_0_606,negated_conjecture,
( product(e_3,e_2,e_2)
| product(e_2,e_4,e_5)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_6,e_3) ),
inference(spm,[status(thm)],[c_0_605,c_0_596]) ).
cnf(c_0_607,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_5)
| product(e_3,e_2,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_606]),c_0_42])]) ).
cnf(c_0_608,negated_conjecture,
( product(e_3,e_2,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_607]),c_0_42])]) ).
cnf(c_0_609,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_608]),c_0_42])]) ).
cnf(c_0_610,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_609]),c_0_42])]) ).
cnf(c_0_611,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_2)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_220,c_0_576]) ).
cnf(c_0_612,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_6,e_2,e_5)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_249,c_0_610]) ).
cnf(c_0_613,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_611,c_0_377]) ).
cnf(c_0_614,plain,
( product(e_6,e_2,e_1)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_45]),c_0_251]) ).
cnf(c_0_615,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_6,e_2,e_5)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_5,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_612]) ).
cnf(c_0_616,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_552]),c_0_99]) ).
cnf(c_0_617,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_613]),c_0_42])]) ).
cnf(c_0_618,negated_conjecture,
( product(e_6,e_2,e_5)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_1,e_2,X1)
| ~ product(e_2,X1,e_6) ),
inference(spm,[status(thm)],[c_0_121,c_0_614]) ).
cnf(c_0_619,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_6,e_2,e_5)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_615,c_0_610]),c_0_276]) ).
cnf(c_0_620,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_3,e_4,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_616,c_0_617]) ).
cnf(c_0_621,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_1,e_2,e_4)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_618,c_0_507]) ).
cnf(c_0_622,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_6,e_2,e_5)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_4,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_619]) ).
cnf(c_0_623,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_5)
| product(e_1,e_4,X1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_620]) ).
cnf(c_0_624,negated_conjecture,
( product(e_6,e_2,e_5)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| ~ product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_621]),c_0_41]) ).
cnf(c_0_625,negated_conjecture,
( product(e_4,e_2,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_6,e_2,e_5)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_622,c_0_610]) ).
cnf(c_0_626,negated_conjecture,
( product(e_4,e_6,e_2)
| product(e_1,e_4,e_6)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_623,c_0_585]) ).
cnf(c_0_627,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_4,e_2,e_5)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_624,c_0_625]) ).
cnf(c_0_628,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_5)
| product(e_4,e_6,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_626]),c_0_258]) ).
cnf(c_0_629,negated_conjecture,
( product(e_6,e_2,e_5)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_4,e_2,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_627]),c_0_42])]) ).
cnf(c_0_630,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_628]),c_0_399]) ).
cnf(c_0_631,negated_conjecture,
~ product(e_2,e_4,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_610]),c_0_334]),c_0_347]) ).
cnf(c_0_632,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_4)
| ~ product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_629]),c_0_74]) ).
cnf(c_0_633,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_630,c_0_631]) ).
cnf(c_0_634,negated_conjecture,
( product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_632,c_0_633]) ).
cnf(c_0_635,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_6,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_4,e_2,X1)
| ~ product(e_2,X1,e_6) ),
inference(spm,[status(thm)],[c_0_121,c_0_634]) ).
cnf(c_0_636,negated_conjecture,
( product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_6,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_635,c_0_507]),c_0_277]) ).
cnf(c_0_637,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_636]),c_0_42])]) ).
cnf(c_0_638,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_5,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_592]) ).
cnf(c_0_639,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_637]),c_0_42])]) ).
cnf(c_0_640,plain,
( ~ product(X1,X2,e_3)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_63,c_0_139]) ).
cnf(c_0_641,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_638,c_0_109]) ).
cnf(c_0_642,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_4,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_121,c_0_524]) ).
cnf(c_0_643,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_639]),c_0_42])]) ).
cnf(c_0_644,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_640,c_0_641]),c_0_121]) ).
cnf(c_0_645,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_5,e_2,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_642,c_0_643]),c_0_277]),c_0_644]) ).
cnf(c_0_646,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_2,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_645]),c_0_42])]) ).
cnf(c_0_647,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_5,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_646]) ).
cnf(c_0_648,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_647,c_0_109]) ).
cnf(c_0_649,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_121,c_0_648]) ).
cnf(c_0_650,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_649,c_0_643]) ).
cnf(c_0_651,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_650]),c_0_124]) ).
cnf(c_0_652,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_651]),c_0_42])]) ).
cnf(c_0_653,negated_conjecture,
( product(e_5,e_2,e_6)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_1,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_121,c_0_512]) ).
cnf(c_0_654,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_5,e_4,X1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_643]) ).
cnf(c_0_655,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_652]),c_0_109]) ).
cnf(c_0_656,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_1,e_2,e_4)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_6) ),
inference(spm,[status(thm)],[c_0_653,c_0_643]) ).
cnf(c_0_657,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_5,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_654,c_0_655]) ).
cnf(c_0_658,negated_conjecture,
( product(e_5,e_2,e_6)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_2,e_4,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_656]),c_0_119]) ).
cnf(c_0_659,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_657]),c_0_648]) ).
cnf(c_0_660,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_149,c_0_564]) ).
cnf(c_0_661,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_6) ),
inference(spm,[status(thm)],[c_0_658,c_0_659]) ).
cnf(c_0_662,negated_conjecture,
( product(e_3,e_2,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_660,c_0_659]) ).
cnf(c_0_663,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_6,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_121,c_0_661]) ).
cnf(c_0_664,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_6,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_650]),c_0_72]) ).
cnf(c_0_665,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_2)
| product(e_1,e_5,X1)
| ~ product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_662]) ).
cnf(c_0_666,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_663,c_0_643]),c_0_664]) ).
cnf(c_0_667,negated_conjecture,
( product(e_5,e_2,e_2)
| product(e_1,e_5,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_665,c_0_666]) ).
cnf(c_0_668,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_2)
| product(e_5,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_667]),c_0_77]) ).
cnf(c_0_669,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_668]),c_0_42])]) ).
cnf(c_0_670,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_669]),c_0_42])]) ).
cnf(c_0_671,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_670]),c_0_42])]) ).
cnf(c_0_672,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_6,e_2,e_5)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_249,c_0_671]) ).
cnf(c_0_673,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_6,e_2,e_5)
| product(e_2,e_4,e_2)
| product(e_5,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_672]) ).
cnf(c_0_674,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_6,e_2,e_5)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_673,c_0_671]),c_0_276]) ).
cnf(c_0_675,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_6,e_2,e_5)
| product(e_2,e_4,e_2)
| product(e_4,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_674]) ).
cnf(c_0_676,negated_conjecture,
( product(e_4,e_2,e_5)
| product(e_2,e_4,e_2)
| product(e_6,e_2,e_5)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_675,c_0_671]) ).
cnf(c_0_677,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_6,e_2,e_5)
| product(e_2,e_4,e_2)
| product(e_4,e_2,e_5)
| product(e_3,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_676]) ).
cnf(c_0_678,negated_conjecture,
( product(e_5,e_2,e_6)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_4,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_656]) ).
cnf(c_0_679,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_2,e_5)
| product(e_2,e_4,e_2)
| product(e_6,e_2,e_5)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_677,c_0_671]) ).
cnf(c_0_680,negated_conjecture,
( product(e_4,e_2,e_5)
| product(e_2,e_4,e_2)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_6) ),
inference(spm,[status(thm)],[c_0_678,c_0_671]) ).
cnf(c_0_681,negated_conjecture,
( product(e_6,e_2,e_5)
| product(e_2,e_4,e_2)
| product(e_4,e_2,e_5)
| product(e_3,e_2,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_679]),c_0_42])]) ).
cnf(c_0_682,negated_conjecture,
( product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_4,e_2,e_5)
| product(e_6,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_121,c_0_680]) ).
cnf(c_0_683,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_2,e_5)
| product(e_2,e_4,e_2)
| ~ product(e_6,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_344,c_0_681]) ).
cnf(c_0_684,negated_conjecture,
( product(e_6,e_2,e_4)
| product(e_4,e_2,e_5)
| product(e_2,e_4,e_2)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_682,c_0_643]) ).
cnf(c_0_685,negated_conjecture,
( product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_4,e_2,e_5)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_683,c_0_684]) ).
cnf(c_0_686,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_2,e_5)
| product(e_2,e_4,e_2)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_4,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_121,c_0_685]) ).
cnf(c_0_687,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_4,e_2,e_5)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_686,c_0_643]),c_0_277]) ).
cnf(c_0_688,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_2,e_5)
| product(e_2,e_4,e_2)
| product(e_5,e_2,e_2)
| product(e_3,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_121,c_0_687]) ).
cnf(c_0_689,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_295,c_0_659]) ).
cnf(c_0_690,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_5,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_4,e_2,e_5)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_688,c_0_643]) ).
cnf(c_0_691,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_689]),c_0_42])]) ).
cnf(c_0_692,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_6,e_2,e_5)
| product(e_2,e_4,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_71,c_0_674]) ).
cnf(c_0_693,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_2,e_5)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_690]),c_0_42])]) ).
cnf(c_0_694,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_691]) ).
cnf(c_0_695,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_6,e_2,e_5)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_692,c_0_659]) ).
cnf(c_0_696,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_5)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_322,c_0_693]) ).
cnf(c_0_697,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_6,e_2,e_5)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_694,c_0_695]) ).
cnf(c_0_698,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_696]),c_0_42])]) ).
cnf(c_0_699,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_6,e_2,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_697]),c_0_42])]) ).
cnf(c_0_700,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_112,c_0_139]) ).
cnf(c_0_701,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_5)
| product(e_4,e_1,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_98,c_0_698]) ).
cnf(c_0_702,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_699]),c_0_700]) ).
cnf(c_0_703,negated_conjecture,
( product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_3,e_2,e_6) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_455]),c_0_74]),c_0_415]) ).
cnf(c_0_704,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_701,c_0_109]),c_0_702]) ).
cnf(c_0_705,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_2,e_4,e_2)
| ~ product(e_4,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_672]),c_0_56]) ).
cnf(c_0_706,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_2,e_4,e_2)
| ~ product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_672]),c_0_72]) ).
cnf(c_0_707,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_703,c_0_208]),c_0_427]) ).
cnf(c_0_708,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_1,X1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_704]) ).
cnf(c_0_709,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_705,c_0_693]),c_0_706]) ).
cnf(c_0_710,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_650]),c_0_71]) ).
cnf(c_0_711,negated_conjecture,
( product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_5,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_707]) ).
cnf(c_0_712,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_708,c_0_709]),c_0_710]) ).
cnf(c_0_713,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5) ),
inference(spm,[status(thm)],[c_0_711,c_0_109]) ).
cnf(c_0_714,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_712]) ).
cnf(c_0_715,negated_conjecture,
( product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_4)
| ~ product(e_5,e_2,e_6) ),
inference(spm,[status(thm)],[c_0_143,c_0_713]) ).
cnf(c_0_716,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_714,c_0_671]),c_0_702]) ).
cnf(c_0_717,negated_conjecture,
( product(e_3,e_2,e_6)
| product(e_4,e_2,e_6)
| product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_6,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_121,c_0_361]) ).
cnf(c_0_718,negated_conjecture,
( product(e_4,e_2,e_6)
| product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_715,c_0_361]),c_0_703]) ).
cnf(c_0_719,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_295,c_0_716]) ).
cnf(c_0_720,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_4,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_659]) ).
cnf(c_0_721,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_6,e_2,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5)
| product(e_4,e_2,e_6)
| product(e_3,e_2,e_6) ),
inference(spm,[status(thm)],[c_0_717,c_0_643]) ).
cnf(c_0_722,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_655]),c_0_99]),c_0_149]) ).
cnf(c_0_723,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5) ),
inference(spm,[status(thm)],[c_0_410,c_0_718]) ).
cnf(c_0_724,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_719]),c_0_42])]) ).
cnf(c_0_725,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_720,c_0_109]) ).
cnf(c_0_726,negated_conjecture,
( product(e_4,e_2,e_6)
| product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_4,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_721]),c_0_454]) ).
cnf(c_0_727,negated_conjecture,
( product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_722,c_0_723]) ).
cnf(c_0_728,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_724]) ).
cnf(c_0_729,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_6,e_2,e_5)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_692,c_0_716]) ).
cnf(c_0_730,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_4,e_2)
| ~ product(e_4,e_2,e_6) ),
inference(spm,[status(thm)],[c_0_143,c_0_725]) ).
cnf(c_0_731,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5)
| product(e_4,e_2,e_6) ),
inference(spm,[status(thm)],[c_0_726,c_0_727]) ).
cnf(c_0_732,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_6,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_728,c_0_729]) ).
cnf(c_0_733,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_716]) ).
cnf(c_0_734,negated_conjecture,
( product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_730,c_0_731]),c_0_427]) ).
cnf(c_0_735,plain,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_4)
| ~ product(e_6,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_149,c_0_57]) ).
cnf(c_0_736,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_6,e_2,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_732]),c_0_42])]) ).
cnf(c_0_737,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_733,c_0_109]) ).
cnf(c_0_738,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_734]),c_0_42])]) ).
cnf(c_0_739,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_6,e_1,e_4)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_735,c_0_736]) ).
cnf(c_0_740,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_2,X1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_737]) ).
cnf(c_0_741,negated_conjecture,
( product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_738]),c_0_643]) ).
cnf(c_0_742,negated_conjecture,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_1,X1)
| ~ product(e_1,X1,e_6) ),
inference(spm,[status(thm)],[c_0_121,c_0_739]) ).
cnf(c_0_743,negated_conjecture,
( product(e_2,e_6,e_2)
| product(e_1,e_2,e_6)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_740,c_0_741]) ).
cnf(c_0_744,negated_conjecture,
( product(e_2,e_6,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_742,c_0_743]) ).
cnf(c_0_745,negated_conjecture,
( product(e_6,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_6,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_744]),c_0_109]) ).
cnf(c_0_746,negated_conjecture,
( product(e_2,e_6,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_745]),c_0_724]) ).
cnf(c_0_747,negated_conjecture,
( product(e_2,e_4,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_179,c_0_671]) ).
cnf(c_0_748,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_6,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_746]),c_0_724]) ).
cnf(c_0_749,negated_conjecture,
~ product(e_2,e_2,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_747]),c_0_424]) ).
cnf(c_0_750,negated_conjecture,
( product(e_2,e_6,e_2)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_748]),c_0_749]) ).
cnf(c_0_751,negated_conjecture,
product(e_2,e_4,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_750]),c_0_42])]) ).
cnf(c_0_752,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_751]),c_0_42])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : GRP127-2.006 : TPTP v8.1.2. Released v1.2.0.
% 0.06/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n018.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Oct 3 02:49:09 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.42 Running first-order model finding
% 0.16/0.42 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.VUfDmd3xbu/E---3.1_31914.p
% 46.43/6.34 # Version: 3.1pre001
% 46.43/6.34 # Preprocessing class: FSMSSMSSSSSNFFN.
% 46.43/6.34 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 46.43/6.34 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 46.43/6.34 # Starting new_bool_3 with 300s (1) cores
% 46.43/6.34 # Starting new_bool_1 with 300s (1) cores
% 46.43/6.34 # Starting sh5l with 300s (1) cores
% 46.43/6.34 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 31991 completed with status 0
% 46.43/6.34 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 46.43/6.34 # Preprocessing class: FSMSSMSSSSSNFFN.
% 46.43/6.34 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 46.43/6.34 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 46.43/6.34 # No SInE strategy applied
% 46.43/6.34 # Search class: FGHNF-FFMM00-SFFFFFNN
% 46.43/6.34 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 46.43/6.34 # Starting H----_011_C07_F1_PI_AE_OS_S1U with 811s (1) cores
% 46.43/6.34 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 46.43/6.34 # Starting G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 46.43/6.34 # Starting G-E--_208_B07--C_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 46.43/6.34 # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 46.43/6.34 # G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with pid 31999 completed with status 0
% 46.43/6.34 # Result found by G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI
% 46.43/6.34 # Preprocessing class: FSMSSMSSSSSNFFN.
% 46.43/6.34 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 46.43/6.34 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 46.43/6.34 # No SInE strategy applied
% 46.43/6.34 # Search class: FGHNF-FFMM00-SFFFFFNN
% 46.43/6.34 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 46.43/6.34 # Starting H----_011_C07_F1_PI_AE_OS_S1U with 811s (1) cores
% 46.43/6.34 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 46.43/6.34 # Starting G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 46.43/6.34 # Preprocessing time : 0.001 s
% 46.43/6.34 # Presaturation interreduction done
% 46.43/6.34
% 46.43/6.34 # Proof found!
% 46.43/6.34 # SZS status Unsatisfiable
% 46.43/6.34 # SZS output start CNFRefutation
% See solution above
% 46.43/6.35 # Parsed axioms : 63
% 46.43/6.35 # Removed by relevancy pruning/SinE : 0
% 46.43/6.35 # Initial clauses : 63
% 46.43/6.35 # Removed in clause preprocessing : 0
% 46.43/6.35 # Initial clauses in saturation : 63
% 46.43/6.35 # Processed clauses : 8155
% 46.43/6.35 # ...of these trivial : 0
% 46.43/6.35 # ...subsumed : 2648
% 46.43/6.35 # ...remaining for further processing : 5507
% 46.43/6.35 # Other redundant clauses eliminated : 0
% 46.43/6.35 # Clauses deleted for lack of memory : 0
% 46.43/6.35 # Backward-subsumed : 2721
% 46.43/6.35 # Backward-rewritten : 204
% 46.43/6.35 # Generated clauses : 39651
% 46.43/6.35 # ...of the previous two non-redundant : 37878
% 46.43/6.35 # ...aggressively subsumed : 0
% 46.43/6.35 # Contextual simplify-reflections : 1418
% 46.43/6.35 # Paramodulations : 39583
% 46.43/6.35 # Factorizations : 0
% 46.43/6.35 # NegExts : 0
% 46.43/6.35 # Equation resolutions : 0
% 46.43/6.35 # Total rewrite steps : 385
% 46.43/6.35 # Propositional unsat checks : 0
% 46.43/6.35 # Propositional check models : 0
% 46.43/6.35 # Propositional check unsatisfiable : 0
% 46.43/6.35 # Propositional clauses : 0
% 46.43/6.35 # Propositional clauses after purity: 0
% 46.43/6.35 # Propositional unsat core size : 0
% 46.43/6.35 # Propositional preprocessing time : 0.000
% 46.43/6.35 # Propositional encoding time : 0.000
% 46.43/6.35 # Propositional solver time : 0.000
% 46.43/6.35 # Success case prop preproc time : 0.000
% 46.43/6.35 # Success case prop encoding time : 0.000
% 46.43/6.35 # Success case prop solver time : 0.000
% 46.43/6.35 # Current number of processed clauses : 2451
% 46.43/6.35 # Positive orientable unit clauses : 28
% 46.43/6.35 # Positive unorientable unit clauses: 0
% 46.43/6.35 # Negative unit clauses : 92
% 46.43/6.35 # Non-unit-clauses : 2331
% 46.43/6.35 # Current number of unprocessed clauses: 27708
% 46.43/6.35 # ...number of literals in the above : 317563
% 46.43/6.35 # Current number of archived formulas : 0
% 46.43/6.35 # Current number of archived clauses : 3056
% 46.43/6.35 # Clause-clause subsumption calls (NU) : 4951376
% 46.43/6.35 # Rec. Clause-clause subsumption calls : 101017
% 46.43/6.35 # Non-unit clause-clause subsumptions : 5544
% 46.43/6.35 # Unit Clause-clause subsumption calls : 2423
% 46.43/6.35 # Rewrite failures with RHS unbound : 0
% 46.43/6.35 # BW rewrite match attempts : 7
% 46.43/6.35 # BW rewrite match successes : 1
% 46.43/6.35 # Condensation attempts : 0
% 46.43/6.35 # Condensation successes : 0
% 46.43/6.35 # Termbank termtop insertions : 1074077
% 46.43/6.35
% 46.43/6.35 # -------------------------------------------------
% 46.43/6.35 # User time : 5.825 s
% 46.43/6.35 # System time : 0.033 s
% 46.43/6.35 # Total time : 5.858 s
% 46.43/6.35 # Maximum resident set size: 1772 pages
% 46.43/6.35
% 46.43/6.35 # -------------------------------------------------
% 46.43/6.35 # User time : 28.495 s
% 46.43/6.35 # System time : 0.263 s
% 46.43/6.35 # Total time : 28.758 s
% 46.43/6.35 # Maximum resident set size: 1988 pages
% 46.43/6.35 % E---3.1 exiting
%------------------------------------------------------------------------------